CMPT 468: Matlab Tutorial 3: Analysis with the Fast
Fourier Transform (FFT)
Tamara Smyth, tamaras@cs.sfu.ca
School of Computing Science,
Simon Fraser University
September 24, 2013
This tutorial is available in its original form at:
http:/ccrma.stanford.ed

Understanding
the
FFT
A Tutorial on
the Algorithm &
Software for Laymen,
Students, Technicians
& Working Engineers
Anders E. Zonst
To Shirley
iv
Understanding the FFT
ACKNOWLEDGEMENTS
A special thanks to Rene, Heather and Maureen. Without
their help you w

iW.S. Department of Justice
'National Institute of Justice
FM Transceivers
ABOUT THE TECHNOLOGY ASSESSMENT PROGRAM
T h e Technology Assessment Program is sponsored by the O f i c e of Development, Testing, and Dissemination of the National Institute o f J

Impedance Matching
In Power Amplifiers
Impedance Matching
In Power Amplifiers
Impedance Matching 101: Lumped Elements
Procedure for Impedance Matching Using L Sections
Based on Q Concepts
Q Definitions for Reactive Elements
The Q of the impedance transfor

Microwave Power Combiners
Power Combining
Applications of Power Combining
Power Combining Problem for Microwave PAs
Combining power from various unit PAs is one of the central
problems of high power PA design.
CMOS microprocessors have >100M transistors.

Switching-Mode
Power Amplifiers
Switching-Mode Amplifiers
Switching-mode minimizes power dissipation in transistor:
when voltage is high, current is zero
when current is high, voltage is minimum
Vo
Iout
Vsw
Pdiss
driver
Vh
Isw
Vout
time
time
Examples: Cla

Stability of Power Amplifiers
Why Do Microwave Amplifiers Oscillate?
1) Most are intrinsically unstable at low frequencies
(K<1) due to internal feedback in the transistor
With terminations of an open or a short, they will oscillate
Thus it is difficult t